Solve 12-4+3-42*3:96*456=

$$12 - 4 + 3 - 42 \times 3 : 96 \times 456 =$$

Evaluate

$$-\frac{1175}{2}=-587.5$$

Solution Steps

Subtract 4 from 12 to get 8.

$$8+3-\frac{42\times 3}{96}\times 456$$

Add 8 and 3 to get 11.

$$11-\frac{42\times 3}{96}\times 456$$

Multiply 42 and 3 to get 126.

$$11-\frac{126}{96}\times 456$$

Reduce the fraction \frac{126}{96} to lowest terms by extracting and canceling out 6.

$$11-\frac{21}{16}\times 456$$

Express \frac{21}{16}\times 456 as a single fraction.

$$11-\frac{21\times 456}{16}$$

Multiply 21 and 456 to get 9576.

$$11-\frac{9576}{16}$$

Reduce the fraction \frac{9576}{16} to lowest terms by extracting and canceling out 8.

$$11-\frac{1197}{2}$$

Convert 11 to fraction \frac{22}{2}.

$$\frac{22}{2}-\frac{1197}{2}$$

Since \frac{22}{2} and \frac{1197}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-1197}{2}$$

Subtract 1197 from 22 to get -1175.

$$-\frac{1175}{2}$$

Factor

$$-\frac{1175}{2} = -587\frac{1}{2} = -587.5$$